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Finding the Third Proportional to 290,902 and 617,018

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Solution

The third proportional to 290,902 and 617,018 is: 1,308,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,902 : 617,018 = 617,018 : x
  2. Step 2: Convert to fraction form
    290,902/617,018 = 617,018/x
  3. Step 3: Cross multiply
    290,902x = 617,018 × 617,018
  4. Step 4: Simplify right side
    290,902x = 380,711,212,324
  5. Step 5: Solve for x
    x = 380,711,212,324/290,902
  6. Step 6: Final answer
    x = 1,308,726.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.